434798400 has 84 divisors (see below), whose sum is σ = 1426516832. Its totient is φ = 115944960.

The previous prime is 434798393. The next prime is 434798401. The reversal of 434798400 is 4897434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434798401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40492 + ... + 50091.

Almost surely, 2^434798400 is an apocalyptic number.

434798400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434798400 is an abundant number, since it is smaller than the sum of its proper divisors (991718432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434798400 is a wasteful number, since it uses less digits than its factorization.

434798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90608 (or 90593 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 434798400 is about 20851.8200644452. The cubic root of 434798400 is about 757.5814157282.

The spelling of 434798400 in words is "four hundred thirty-four million, seven hundred ninety-eight thousand, four hundred".